Question

The density of a gas is $6 \times 10^{-2} \, kg/m^3$ and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is

• A. $ 5 \times 10^3 N/m^2$
• B. $ 1.2 \times 10^{-4} N/m^2$
• C. $ 0.83 \times 10^{-4} N/m^2$
• D. $30 \, N/m^2$

Answer 1

Answer: (A)

$P = \frac{1}{3} \rho v^{\bar{2}} = \frac{1}{3} \times\left(6 \times10^{-2}\right)\times\left(500\right)^{2}$
$ = 5 \times10^{3} N /m^{2} $